Face Perimeter of Cube given Space Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3)
PFace = (4*dSpace)/sqrt(3)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Face Perimeter of Cube - (Measured in Meter) - Face Perimeter of Cube is the total distance around the four edges of any face of the Cube.
Space Diagonal of Cube - (Measured in Meter) - Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.
STEP 1: Convert Input(s) to Base Unit
Space Diagonal of Cube: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PFace = (4*dSpace)/sqrt(3) --> (4*17)/sqrt(3)
Evaluating ... ...
PFace = 39.2598183048946
STEP 3: Convert Result to Output's Unit
39.2598183048946 Meter --> No Conversion Required
FINAL ANSWER
39.2598183048946 39.25982 Meter <-- Face Perimeter of Cube
(Calculation completed in 00.004 seconds)

Credits

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Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has created this Calculator and 1100+ more calculators!
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
Nikita Kumari has verified this Calculator and 600+ more calculators!

Face Perimeter of Cube Calculators

Face Perimeter of Cube given Face Diagonal
​ LaTeX ​ Go Face Perimeter of Cube = (4*Face Diagonal of Cube)/sqrt(2)
Face Perimeter of Cube given Face Area
​ LaTeX ​ Go Face Perimeter of Cube = 4*sqrt(Face Area of Cube)
Face Perimeter of Cube given Volume
​ LaTeX ​ Go Face Perimeter of Cube = 4*Volume of Cube^(1/3)
Face Perimeter of Cube
​ LaTeX ​ Go Face Perimeter of Cube = 4*Edge Length of Cube

Face Perimeter of Cube given Space Diagonal Formula

​LaTeX ​Go
Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3)
PFace = (4*dSpace)/sqrt(3)

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Face Perimeter of Cube given Space Diagonal?

Face Perimeter of Cube given Space Diagonal calculator uses Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3) to calculate the Face Perimeter of Cube, The Face Perimeter of Cube given Space Diagonal formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the space diagonal of the Cube. Face Perimeter of Cube is denoted by PFace symbol.

How to calculate Face Perimeter of Cube given Space Diagonal using this online calculator? To use this online calculator for Face Perimeter of Cube given Space Diagonal, enter Space Diagonal of Cube (dSpace) and hit the calculate button. Here is how the Face Perimeter of Cube given Space Diagonal calculation can be explained with given input values -> 39.25982 = (4*17)/sqrt(3).

FAQ

What is Face Perimeter of Cube given Space Diagonal?
The Face Perimeter of Cube given Space Diagonal formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the space diagonal of the Cube and is represented as PFace = (4*dSpace)/sqrt(3) or Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3). Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.
How to calculate Face Perimeter of Cube given Space Diagonal?
The Face Perimeter of Cube given Space Diagonal formula is defined as the total distance around the four edges of any face of the Cube, and calculated using the space diagonal of the Cube is calculated using Face Perimeter of Cube = (4*Space Diagonal of Cube)/sqrt(3). To calculate Face Perimeter of Cube given Space Diagonal, you need Space Diagonal of Cube (dSpace). With our tool, you need to enter the respective value for Space Diagonal of Cube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Face Perimeter of Cube?
In this formula, Face Perimeter of Cube uses Space Diagonal of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Face Perimeter of Cube = 4*Edge Length of Cube
  • Face Perimeter of Cube = (4*Face Diagonal of Cube)/sqrt(2)
  • Face Perimeter of Cube = 4*sqrt(Face Area of Cube)
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